DIFFERENTIAL EQUATION FOR ENGINEERS - ENGR BOHOLANO

This course is intended for all engineering students to have a firm foundation on differential equations in preparation for their degree-specific advanced mathematics courses. It covers first order differential equations, nth order linear differential equations and systems of first order linear differential equations. It also introduces the concept of Laplace Transform in solving differential equations. The students are expected to be able to recognize different kinds of differential equations, determine the existence and uniqueness of solution, select the appropriate methods of solution and interpret the obtained solution. Students are also expected to relate differential equations to various practical engineering and scientific problems as well as employ computer technology in solving verifying solutions.


Number of Units: 3 units (lec)

Prerequisite: Math 14 (Calculus II)

At the end of this course, the students should be able to:

  • Apply integration for the evaluation of areas, volumes of revolution, force and work;
  • Use integration techniques on single and multi-variable functions; and
  • Use the development of transform methods (Laplace) to solve differential equations and to study their solutions.


Course Outline

ES 14 Course Outline (Click Here!)


Grading System

Midterm Examination   --- 30%

Final Examination -------  30%

Quizzes ----------------  25%

Assignments -----------   15%

                                  Total     100%


Textbooks and References

  • C.E. Love & E.D. Rainville. Differential and Integral Calculus, 6th Edition.
  • E.D. Rainville & P.E. Bedient. Elemetary Differential Equations, 8th Edition.
  • Schaum's Outline Differential Equations, 3rd Edition.
  • Williamson, R.E. Introduction to Differential Equations and Dynamical Systems, Cir. 515.35 W576 2001
  • Edwards, H.C. Differential Equations: Computing and Modeling, Res. 515.35 eD95 2000

Classroom Policies


Attendance

Active participation and engagement in this course are required. There will be no formal checking of attendance. But there will be a for-credit assignment given, turned in or done mostly during the online class schedule.

 

Formative & Summative Assessment

   (1) Class Activity (Activity-Based)

The activities are given with one-week duration. Extension of submission is allowed as specified by the faculty, but with 10% deduction on points per day.

   (2) Quizzes and Assignments

Quizzes (lesson and unit) and assignments are done through moodle or google form and are announced ahead of time. Students are given enough time to complete the task depending on the difficulty of the topic. For students who failed to do within the specified time, a special quiz will be given provided that there is a valid reason.

   (3) Practice Problems

Worksheets may be given to the students after the watching the lecture videos/reading the materials provided or  during the synchronous class. This is not graded. Solutions will be provided in pdf copy and/or video.

   (4) Major Examinations

There will be two (2) major exams (Midterm and Finals) in this course which will be administered face to face. The students will be informed ahead of time to prepare. 
   (5) Synchronous Class
Synchronous class will be done at least once a week via Zoom Meeting. Link can be accessed through the GC. Lessons are explained further and more examples are given during the synchronous class.  In the case that a student cannot attend the synchronous class, a copy of the Zoom Meeting recording will be provided through the LMS. 
   (6) Communication Platform
All lessons (lecture videos, reading materials in pdf, ppt, etc.) can be accessed mainly through the LMS. Students are advised to log-in from time to time especially during the scheduled class hours for updates and announcements. Concerns regarding the lessons and announcements can be raised through the FB group chat. Consultation hours of the instructor will be announced during the class orientation.